A family of hybrid derivative-free methods via acceleration parameter for solving system of nonlinear equations

Abstract

In this paper, we present some derivative-free methods for solving system of nonlinear equations based on approximating the Jacobian matrix via acceleration and correction parameters. Furthermore, we compute the step length using inexact line search procedure. Under appropriate conditions, we proved that the proposed methods are globally. We also present some numerical results to show the efficiency of the proposed methods by comparing them with some existing derivative-free methods in the recent literature.